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23434311343432 = 231141157271152657
BaseRepresentation
bin1010101010000001110011…
…10011011001110101001000
310001222022001110010222211011
411111000321303121311020
511032421432200442212
6121501323553013304
74636034036545153
oct525007163316510
9101868043128734
1023434311343432
117515487905290
122765887554234
13100caccaa8742
145b032619cc9a
152a98a83724a7
hex155039cd9d48

23434311343432 has 128 divisors (see below), whose sum is σ = 49598364372480. Its totient is φ = 10287793152000.

The previous prime is 23434311343427. The next prime is 23434311343439.

23434311343432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23434311343439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153433248 + ... + 153585904.

It is an arithmetic number, because the mean of its divisors is an integer number (387487221660).

Almost surely, 223434311343432 is an apocalyptic number.

23434311343432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23434311343432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799182186240).

23434311343432 is an abundant number, since it is smaller than the sum of its proper divisors (26164053029048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23434311343432 is a wasteful number, since it uses less digits than its factorization.

23434311343432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153143 (or 153139 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 2343431 and 1343432, that added together give a palindrome (3686863).

The spelling of 23434311343432 in words is "twenty-three trillion, four hundred thirty-four billion, three hundred eleven million, three hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 157 164 271 314 328 451 542 628 902 1084 1256 1727 1804 2168 2981 3454 3608 5962 6437 6908 11111 11924 12874 13816 22222 23848 25748 42547 44444 51496 70807 85094 88888 122221 141614 152657 170188 244442 283228 305314 340376 468017 488884 566456 610628 936034 977768 1221256 1679227 1744427 1872068 3358454 3488854 3744136 6258937 6716908 6977708 12517874 13433816 13955416 19188697 23967149 25035748 38377394 41370047 47934298 50071496 68848307 76754788 82740094 95868596 137696614 153509576 165480188 191737192 263638639 275393228 330960376 455070517 527277278 550786456 910141034 982653109 1054554556 1696171927 1820282068 1965306218 2109109112 3392343854 3640564136 3930612436 6495097379 6784687708 7861224872 10809184199 12990194758 13569375416 18657891197 21618368398 25980389516 37315782394 43236736796 51960779032 71446071169 74631564788 86473473592 142892142338 149263129576 266298992539 285784284676 532597985078 571568569352 1065195970156 2130391940312 2929288917929 5858577835858 11717155671716 23434311343432